2282752 has 36 divisors (see below), whose sum is σ = 4699156. Its totient is φ = 1105920.

The previous prime is 2282737. The next prime is 2282759. The reversal of 2282752 is 2572822.

It can be written as a sum of positive squares in 2 ways, for example, as 1893376 + 389376 = 1376^2 + 624^2 .

Its product of digits (4480) is a multiple of the sum of its prime divisors (280).

It is a self number, because there is not a number n which added to its sum of digits gives 2282752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2282759) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9352 + ... + 9592.

2^2282752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2282752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2349578).

2282752 is an abundant number, since it is smaller than the sum of its proper divisors (2416404).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2282752 is an equidigital number, since it uses as much as digits as its factorization.

2282752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 280 counting only the distinct ones).

The product of its digits is 4480, while the sum is 28.

The square root of 2282752 is about 1510.8778904994. The cubic root of 2282752 is about 131.6698206441.

It can be divided in two parts, 2 and 282752, that multiplied together give a square (565504 = 752²).

The spelling of 2282752 in words is "two million, two hundred eighty-two thousand, seven hundred fifty-two".